A helical spring with a load range of from 450 N to 800 N from valve-closed to valve-open conditions is used to close the valve of a spring-set relief valve having a lift of 10 mm. Assuming the spring wire to be of chrome vanadium steel, the spring is rendering average service, determine the diameter of the wire if the spring index is 7 and Sg - 420 MPa. Use G=83GPA. Select one: O a. 2.4-mm wire

A helical spring with a load range of from 450 N to 800 N from valve-closed to valve-open conditions is used to close the valve of a spring-set relief valve having a lift of 10 mm. Assuming the spring wire to be of chrome vanadium steel, the spring is rendering average service, determine the diameter of the wire if the spring index is 7 and Sg - 420 MPa. Use G=83GPA. Select one: O a. 2.4-mm wire

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3. A helical compression spring with squared and ground ends is made of music wire. It is to have a spring rate of 2,400 N/m. The force corresponding to a solid length is 120 N. The spring index is set to be 10. At closure use a design factor of 1.2 guarding against yielding. For static loading, determine the wire diameter, the mean coil diameter, the number of coils, the free and solid lengths of the spring, and show whether buckling may occur. The helical spring of Problem 3 is subjected to a fluctuating load varying between 20 N and 100 N in service. Estimate the factor of safety guarding against fatigue-failure using a torsional Goodman fatigue criterion with Zimmerli data.
3. A helical compression spring with squared and ground ends is made of music wire. It is to have a spring rate of 2,400 N/m. The force corresponding to a solid length is 120 N. The spring index is set to be 10. At closure use a design factor of 1.2 guarding against yielding. For static loading, determine the wire diameter, the mean coil diameter, the number of coils, the free and solid lengths of the spring, and show whether buckling may occur.
A helical compression spring has a scale of 500 lb/in., an outside diameter of 2.75 in, a free length of 8 inches and with squared and ground ends. The load is 1,000 lbs and the working stress on the wire material is 65000 psi. If the Wahl factor of 1.25 is to be used, calculate the following: A. The standard wire diameter B. The number of active coil if G = 10 800 000 psi C. The solid height D. The stress at solid height
Problem 4: A helical compression spring is to be cycled between 150 lbf and 300 lbf with a 1-in stroke. The number of cycles is low, so fatigue is not an issue. The coil must fit in a 2.1-in diameter hole with a 0.1-in clearance all the way around the spring. Use unpeened music wire with squared and ground ends. (a) Determine a suitable wire diameter, using a spring index of C = 7. (b) Determine a suitable mean coil diameter. (c) Determine the necessary spring constant. (d) Determine a suitable total number of coils. (e) Determine the necessary free length so that if the spring were compressed to its solid length, there would be no yielding
Starting with a spring index of C = 10, design a compression coil spring of 302 stainless wire with squared ends. The spring deflects 50 mm when a force of 90 N is applied and closes to solid when ys is 60 mm. At closure, use a design factor of 1.2 guarding against yielding. Select the smallest diameter wire where wire diameters are available in 0.2-mm increments between 0.2 and 3.2 mm. For the design, specify the wire diameter, the inside and outside diameters of the coil, the spring rate, the total number of coils, the free length of the spring, the final factor of safety, and stability conditions.
Design a helical compression spring to be used in a cam and follower mechanism made of oil tempered carbon steel, is subjected to a load which varies from 416 N to 970 N. The spring index is 6.2 and the design factor of safety is 1.25. If the yield stress in shear is 770 MPa and endurance stress in shear is 350 MPa,find: 1. Size of the spring wire, 2. Diameters of the spring, 3. Number of turns of the spring, and 4. Free length of the spring. The compression of the spring at the maximum load is 30 mm. The modulus of rigidity for the spring material may be taken as 80 kN/mm2.
A helical compression spring is wound using 0.12-in-diameter phosphor-bronze B159 wire. The spring index C = 10 and the total number of coils is N = 14. You may assume that the spring has both ends squared and ground and is supported between fixed ends. Also, Sgy = 0.45 · Sut- a. Estimate the spring rate. b. Estimate the static load corresponding to the yield strength. c. What should the free length of the spring be to ensure that when it is compressed solid the torsional stress does not exceed the yield strength? d. Calculate the critical value of the free length of the spring to avoid buckling.
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Required information A helical coil compression spring is needed for food service machinery. The load varies from a minimum of Fmin 4 lbf to a maximum of Fmax 16 lbf. The spring rate k is to be 9.5 Ibf/in. The outside diameter of the spring cannot exceed 2.5 in. The spring maker has available suitable dies for drawing 0.08-in-diameter wire. Use a fatigue design factor nf of 1.5 and the Gerber-Zimmerli fatigue-failure criterion. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the values for each of the following for a value of 0.08 in: The torsional modulus of rupture, Ssu, is kpsi. Torsional yield strength, Ssy, is | kpsi. The endurance strength, assuming unpeened spring wire, Sse, is The value of the mean diameter, D, is in. The alternating shear stress, Ta, is The fatigue factor of safety, nf, is The free length, Lo, is The critical length, LO(cr), is in. in. kpsi. kpsi.
A spring made from music wire ASTM 228 steel has the following data:Free length=1.75” Outside diameter=0.561”Wire diameter=0.055” Applied load= 14 lbEnds=square and ground both ends hingedNumber of coils=10 G=11.85 x 106psi E= 30 Mpsi Findspring rate, force at solid length,check for buckling,coil clearance and hole diameter
Required information A helical coil compression spring is needed for food service machinery. The load varies from a minimum of Fmin 4 lbf to a maximum of Fmax 16 lbf. The spring rate k is to be 9.5 lbf/in. The outside diameter of the spring cannot exceed 2.5 in. The spring maker has available suitable dies for drawing 0.08-in-diameter wire. Use a fatigue design factor nf of 1.5 and the Gerber-Zimmerli fatigue-failure criterion. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. For a wire diameter of 0.08 in, what is the value of: The static factor of safety, ns, is The critical frequency, f,is Hz.
A helical compression spring is 1o exert a force of 8.0 Ib when compressed 1o a length of 1.75 in. At a length of 1.25 in, the force must be 12.0 Ib. The spring will be installed in a machine that cycles slowly. and approximately 200 000 cycles total are expected. The tem- perature will not exceed 200°F. The spring will be installed in a hole having a diameter of 0.75 in. For this application. specify a suitable material, wire diameter. mean diameter. OD. ID. free length, solid length. number of coils, and type of end condition. Check the stress at the maximum operating load and at the solid length condition. The first of two solution procedures will be shown. The numbered steps can be used as a guide for future problems and as a Kind of algorithm for the spreadsheet approach that follows the manual solution.